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  • library/doc/html/classbdm_1_1eigamma.html

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    8585<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9a66cbd100e8520c769ccb3c451f86f8"></a><!-- doxytag: member="bdm::eigamma::lognc" ref="a9a66cbd100e8520c769ccb3c451f86f8" args="() const " --> 
    8686double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#a9a66cbd100e8520c769ccb3c451f86f8">lognc</a> () const </td></tr> 
    87 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_89.png"/> <br/></td></tr> 
     87<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_97.png"/> <br/></td></tr> 
    8888<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0865cb3d6339fdc7410806cf70a329ed"></a><!-- doxytag: member="bdm::eigamma::_alpha" ref="a0865cb3d6339fdc7410806cf70a329ed" args="()" --> 
    8989vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#a0865cb3d6339fdc7410806cf70a329ed">_alpha</a> ()</td></tr> 
     
    119119<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3aff7bf25ddac27731c60826fcfd878f"></a><!-- doxytag: member="bdm::eigamma::sample" ref="a3aff7bf25ddac27731c60826fcfd878f" args="() const " --> 
    120120vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#a3aff7bf25ddac27731c60826fcfd878f">sample</a> () const </td></tr> 
    121 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_7.png"/> from density <img class="formulaInl" alt="$ f_x()$" src="form_8.png"/>. <br/></td></tr> 
     121<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_3.png"/> from density <img class="formulaInl" alt="$ f_x()$" src="form_13.png"/>. <br/></td></tr> 
    122122<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a46cecb295edbabd28120cb0f6f572bcb"></a><!-- doxytag: member="bdm::eigamma::mean" ref="a46cecb295edbabd28120cb0f6f572bcb" args="() const " --> 
    123123vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#a46cecb295edbabd28120cb0f6f572bcb">mean</a> () const </td></tr> 
     
    151151<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab4cf45fd83cc7573ede9fe1215256058"></a><!-- doxytag: member="bdm::eigamma::sample_m" ref="ab4cf45fd83cc7573ede9fe1215256058" args="(int N) const " --> 
    152152virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#ab4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
    153 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_9.png"/> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_10.png"/>. <br/></td></tr> 
     153<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_14.png"/> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_15.png"/>. <br/></td></tr> 
    154154<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1499d35b79bce0cfa64fc5cafb9c03b2"></a><!-- doxytag: member="bdm::eigamma::condition" ref="a1499d35b79bce0cfa64fc5cafb9c03b2" args="(const RV &amp;rv) const " --> 
    155155virtual <a class="el" href="classbdm_1_1shared__ptr.html">shared_ptr</a>&lt; <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a1499d35b79bce0cfa64fc5cafb9c03b2">condition</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#a62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> 
     
    162162<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower and upper bounds of <code>percentage</code> % quantile, returns mean-2*sigma as default. <br/></td></tr> 
    163163<tr><td colspan="2"><div class="groupHeader">Connection to other classes</div></td></tr> 
    164 <tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp14fc6e1cb822e9dfc5edc16c20fabe11"></a> Description of the random quantity via attribute <code>rv</code> is optional. For operations such as sampling <code>rv</code> does not need to be set. However, for <code>marginalization</code> and <code>conditioning</code> <code>rv</code> has to be set. NB: </p> 
     164<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp14fc6e1cb822e9dfc5edc16c20fabe11"></a>Description of the random quantity via attribute <code>rv</code> is optional. For operations such as sampling <code>rv</code> does not need to be set. However, for <code>marginalization</code> and <code>conditioning</code> <code>rv</code> has to be set. NB: </p> 
    165165<br/><br/></div></td></tr> 
    166166<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af423e28448dbb69ef4905295ec8de8ff"></a><!-- doxytag: member="bdm::eigamma::set_rv" ref="af423e28448dbb69ef4905295ec8de8ff" args="(const RV &amp;rv0)" --> 
     
    182182<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0901ec983e66b8337aaa506e13b122fa"></a><!-- doxytag: member="bdm::eigamma::alpha" ref="a0901ec983e66b8337aaa506e13b122fa" args="" --> 
    183183vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#a0901ec983e66b8337aaa506e13b122fa">alpha</a></td></tr> 
    184 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\alpha$" src="form_91.png"/>. <br/></td></tr> 
     184<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\alpha$" src="form_99.png"/>. <br/></td></tr> 
    185185<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a457bfb1ccb2057df85073e519a15ccc1"></a><!-- doxytag: member="bdm::eigamma::beta" ref="a457bfb1ccb2057df85073e519a15ccc1" args="" --> 
    186186vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#a457bfb1ccb2057df85073e519a15ccc1">beta</a></td></tr> 
    187 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\beta$" src="form_72.png"/>. <br/></td></tr> 
     187<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\beta$" src="form_80.png"/>. <br/></td></tr> 
    188188<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::eigamma::dim" ref="a16adac20ec7fe07e1ea0b27d917788ce" args="" --> 
    189189int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr> 
     
    197197<p>Multivariate inverse-Gamma density as product of independent univariate densities. </p> 
    198198<p class="formulaDsp"> 
    199 <img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_71.png"/> 
     199<img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_79.png"/> 
    200200</p> 
    201 <p>Vector <img class="formulaInl" alt="$\beta$" src="form_72.png"/> has different meaning (in fact it is 1/beta as used in definition of iG)</p> 
     201<p>Vector <img class="formulaInl" alt="$\beta$" src="form_80.png"/> has different meaning (in fact it is 1/beta as used in definition of iG)</p> 
    202202<p>Inverse Gamma can be converted to Gamma using </p> 
    203203<p class="formulaDsp"> 
    204 <img class="formulaDsp" alt="\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \]" src="form_73.png"/> 
     204<img class="formulaDsp" alt="\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \]" src="form_81.png"/> 
    205205</p> 
    206206<p> This relation is used in sampling. </p> 
     
    237237</ul> 
    238238</div> 
    239 <hr size="1"/><address style="text-align: right;"><small>Generated on Sun Aug 30 22:10:51 2009 for mixpp by&nbsp; 
     239<hr size="1"/><address style="text-align: right;"><small>Generated on Tue Sep 8 22:11:33 2009 for mixpp by&nbsp; 
    240240<a href="http://www.doxygen.org/index.html"> 
    241241<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>